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New Energy Definition for Higher Curvature Gravities
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We propose a novel but natural definition of conserved quantities for gravity models quadratic and higher in curvature. Based on the spatial asymptotics of curvature rather than of metric, it avoids the GR energy machinery's more egregious problems--such as zero energy "theorems" and failure in flat backgrounds -- in this fourth-derivative realm. In D>4, the present expression indeed correctly discriminates between second derivative Gauss-Bonnet and generic, fourth derivative, actions.
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Conformal and pure scale-invariant gravities in d dimensions
For d>4, pure R^{d/2} gravity has no modes on flat space, and five-dimensional conformal gravity propagates three scalar, three vector, and two tensor modes, one of which is a ghost.
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